document.write( "Question 240653: The sum of two numbers is 5/4. One number is 1/2 of the other. Find the
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document.write( "product of these two numbers.\r
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document.write( "A. 25/72; B. 25/63; C. 5/8; D. 5/6; E. none \n" );
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Algebra.Com's Answer #176313 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x + y = 5/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = .5*y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this makes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 2*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting in original equation gets:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2*x = 5/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*x = 5/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 3 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 5/12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 2x so:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 5/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in original equation of x + y = 5/12 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5/12 + 5/6 = 5/12 + 10/12 = 15/12 = 5/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since x = 5/12 and y = 5/6, the product of the two numbers is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5/12 * 5/6 = 25/72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be selection A. \n" ); document.write( " |